UCEED 2018

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UCEED2018Q7·nat·Hard82 attempts

Prof. Paittiyam, in an attempt to create the world's most delicious dish, managed to merge a cylindrical Idli (diameter = 17 cm, height = 6 cm) with a torus shaped medu wada (inner hole diameter = 2 cm, outer diameter = 16 cm, and tube diameter i.e height of torus = 7 cm) such that the medu wada is parallel to the base of the Idli and the centeroids of the two solids coincide. How many surfaces does the resulting solid contain?

Keyboards off — use the numpad, just like on exam day.